Solving Linear Equations and Concepts

This video tutorial covers Unit 6, Lesson 22, focusing on combining like terms and using the distributive property to solve algebraic problems. The teacher guides students through solving perimeter problems by finding the value of x, calculating rectangle dimensions, and handling negative coefficients. The session includes a challenging problem and concludes with a final problem-solving task for students.

What is the main focus of Unit 6, Lesson 22?

• Understanding geometric shapes

• Graphing linear equations

• Combining like terms and using the distributive property

• Solving quadratic equations

If the perimeter of a shape is 48 units, what is the value of x in the equation 4x + 26 = 48?

• 7

• 5.5

• 8

• 6

In the equation 8x + 14 = 94, what is the value of x?

• 9

• 12

• 11

• 10

What is the value of x in the equation 12x + 14 = 38?

• 2

• 1

• 3

• 4

In the expression 14x + 6 = 34, what is the value of x?

• 4

• 2

• 1

• 3

What is the value of x in the equation 4x - 10 = 42?

• 12

• 11

• 13

• 14

In the equation -13x - 25 = 60, what is the value of x?

• -8

• -5

• -6.5

• -7

What is the value of x in the equation -10x - 8 = 32?

• -3

• -6

• -4

• -5

What should you do first when solving an equation with a negative coefficient?

• Add the coefficient to both sides

• Divide both sides by the coefficient

• Subtract the coefficient from both sides

• Multiply both sides by the coefficient

If the perimeter of a shape is 88 units, what is the value of x?

• 13

• 10

• 11

• 12